All categories

2 years ago

The double number line shows that Toni can type 180 words in 2 minutes.

Mathematics

1 answer:

Kobotan [32]2 years ago

5 0

The number of words that Toni can type in 3 minutes is 270 words per minute.

<h3>How to work with ratios?</h3>

We are given 180 words in 2 minutes. This means;

Toni can type 180/2 = 90 words per minute (90wpm).

Using the above same ratio/rate, it means that in 3 minutes, Toni would be able to type:

90 * 3 = 270 words per minute.

Thus, we conclude that the number of words that Toni can type in 3 minutes is 270 words per minute.

Read more about Ratios at; brainly.com/question/2784798

#SPJ1

You might be interested in

if the ratio of similarity of the figures above is 2/3, then what is the ratio of the perimeters of the two figures?

Mademuasel [1]

Perimeter = side 1 + side 2 ´+ side 3.

Triangle 1

Perimeter = 6 + 8 + 10

= 24

Triangle 2

Perimeter = 9 + 12 + 15

= 36

Ratio

24/36 = 2/3

The ratio of the perimeters is also 2/3

5 0

1 year ago

A website manager has noticed that during the evening hours, about 5 people per minute check out from their shopping cart and m

Over [174]

Answer:

a) Poisson distribution

b) 99.33% probability that in any one minute at least one purchase is made

c) 0.05% probability that seven people make a purchase in the next four minutes

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

5 people per minute check out from their shopping cart and make an online purchase.

This means that $\mu = 5$

a) What model might you suggest to model the number of purchases per minute? 

The only information that we have is the mean number of an event(purchases) in a time interval. Each event is also independent fro each other. So you should suggest the Poisson distribution to model the number of purchases per minute.

b) What is the probability that in any one minute at least one purchase is made? 

Either no purchases are made, or at least one is. The sum of the probabilities of these events is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want to find $P(X \geq 1)$

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-5}*(5)^{0}}{(0)!} = 0.0067$

1 - 0.0067 = 0.9933.

99.33% probability that in any one minute at least one purchase is made

c) What is the probability that seven people make a purchase in the next four minutes?

The mean is 5 purchases in a minute. So, for 4 minutes

$\mu = 4*5 = 20$

We have to find P(X = 7).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-20}*(20)^{7}}{(7)!} = 0.0005$

0.05% probability that seven people make a purchase in the next four minutes

8 0

3 years ago

Show that cos 30 degree + sin 60 degree / 1+ sin 30 degree + cos 60 degree is equal to cos 30 degree

Soloha48 [4]

Answer:

cos 30

Step-by-step explanation:

cos 30 + sin 60 / 1+ sin 30 + cos 60

= root3 / 2 + root3/2 / 1 + 1/2 + 1/2

= root 6/2 by 4/2

= root 6/4

= root 3/2

= cos 30

5 0

2 years ago

In an office building, an elevator has a maximum carrying capacity of 2,700 pounds. Based on the average weight (180 pounds male

Yakvenalex [24]

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the number of males on the elevator

y ----> the number of females on the elevator

we know that

The inequality that represent this situation is

$180x+150y\leq 2,700$

The solution of the inequality is the shaded area below the solid line $180x+150y=2,700$

The slope of the solid line is negative

The y-intercept of the solid line is (0,18)

The x-intercept of the solid line is (15,0)

see the attached figure

The solution is the triangular shaded area

The maximum number of females is 18 (when the number of males is zero)

The maximum number of males is 15 (when the number of females is zero)

4 0

3 years ago

Select the statement that best justifies the conclusion based on the given information. B is between A and C Conclusion: A, B an

ivanzaharov [21]

It is c is the collinear

5 0

3 years ago

Read 2 more answers